// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2018 Wave Computing, Inc.
// Written by:
//   Chris Larsen
//   Alexey Frunze (afrunze@wavecomp.com)
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.

#ifndef EIGEN_COMPLEX_MSA_H
#define EIGEN_COMPLEX_MSA_H

#include <iostream>

namespace Eigen {

namespace internal {

//---------- float ----------
struct Packet2cf
{
	EIGEN_STRONG_INLINE Packet2cf() {}
	EIGEN_STRONG_INLINE explicit Packet2cf(const std::complex<float>& a, const std::complex<float>& b)
	{
		Packet4f t = { std::real(a), std::imag(a), std::real(b), std::imag(b) };
		v = t;
	}
	EIGEN_STRONG_INLINE explicit Packet2cf(const Packet4f& a)
		: v(a)
	{
	}
	EIGEN_STRONG_INLINE Packet2cf(const Packet2cf& a)
		: v(a.v)
	{
	}
	EIGEN_STRONG_INLINE Packet2cf& operator=(const Packet2cf& b)
	{
		v = b.v;
		return *this;
	}
	EIGEN_STRONG_INLINE Packet2cf conjugate(void) const
	{
		return Packet2cf((Packet4f)__builtin_msa_bnegi_d((v2u64)v, 63));
	}
	EIGEN_STRONG_INLINE Packet2cf& operator*=(const Packet2cf& b)
	{
		Packet4f v1, v2;

		// Get the real values of a | a1_re | a1_re | a2_re | a2_re |
		v1 = (Packet4f)__builtin_msa_ilvev_w((v4i32)v, (v4i32)v);
		// Get the imag values of a | a1_im | a1_im | a2_im | a2_im |
		v2 = (Packet4f)__builtin_msa_ilvod_w((v4i32)v, (v4i32)v);
		// Multiply the real a with b
		v1 = pmul(v1, b.v);
		// Multiply the imag a with b
		v2 = pmul(v2, b.v);
		// Conjugate v2
		v2 = Packet2cf(v2).conjugate().v;
		// Swap real/imag elements in v2.
		v2 = (Packet4f)__builtin_msa_shf_w((v4i32)v2, EIGEN_MSA_SHF_I8(1, 0, 3, 2));
		// Add and return the result
		v = padd(v1, v2);
		return *this;
	}
	EIGEN_STRONG_INLINE Packet2cf operator*(const Packet2cf& b) const { return Packet2cf(*this) *= b; }
	EIGEN_STRONG_INLINE Packet2cf& operator+=(const Packet2cf& b)
	{
		v = padd(v, b.v);
		return *this;
	}
	EIGEN_STRONG_INLINE Packet2cf operator+(const Packet2cf& b) const { return Packet2cf(*this) += b; }
	EIGEN_STRONG_INLINE Packet2cf& operator-=(const Packet2cf& b)
	{
		v = psub(v, b.v);
		return *this;
	}
	EIGEN_STRONG_INLINE Packet2cf operator-(const Packet2cf& b) const { return Packet2cf(*this) -= b; }
	EIGEN_STRONG_INLINE Packet2cf& operator/=(const Packet2cf& b)
	{
		*this *= b.conjugate();
		Packet4f s = pmul<Packet4f>(b.v, b.v);
		s = padd(s, (Packet4f)__builtin_msa_shf_w((v4i32)s, EIGEN_MSA_SHF_I8(1, 0, 3, 2)));
		v = pdiv(v, s);
		return *this;
	}
	EIGEN_STRONG_INLINE Packet2cf operator/(const Packet2cf& b) const { return Packet2cf(*this) /= b; }
	EIGEN_STRONG_INLINE Packet2cf operator-(void) const { return Packet2cf(pnegate(v)); }

	Packet4f v;
};

inline std::ostream&
operator<<(std::ostream& os, const Packet2cf& value)
{
	os << "[ (" << value.v[0] << ", " << value.v[1]
	   << "i),"
		  "  ("
	   << value.v[2] << ", " << value.v[3] << "i) ]";
	return os;
}

template<>
struct packet_traits<std::complex<float>> : default_packet_traits
{
	typedef Packet2cf type;
	typedef Packet2cf half;
	enum
	{
		Vectorizable = 1,
		AlignedOnScalar = 1,
		size = 2,
		HasHalfPacket = 0,

		HasAdd = 1,
		HasSub = 1,
		HasMul = 1,
		HasDiv = 1,
		HasNegate = 1,
		HasAbs = 0,
		HasAbs2 = 0,
		HasMin = 0,
		HasMax = 0,
		HasSetLinear = 0,
		HasBlend = 1
	};
};

template<>
struct unpacket_traits<Packet2cf>
{
	typedef std::complex<float> type;
	enum
	{
		size = 2,
		alignment = Aligned16,
		vectorizable = true,
		masked_load_available = false,
		masked_store_available = false
	};
	typedef Packet2cf half;
};

template<>
EIGEN_STRONG_INLINE Packet2cf
pset1<Packet2cf>(const std::complex<float>& from)
{
	EIGEN_MSA_DEBUG;

	float f0 = from.real(), f1 = from.imag();
	Packet4f v0 = { f0, f0, f0, f0 };
	Packet4f v1 = { f1, f1, f1, f1 };
	return Packet2cf((Packet4f)__builtin_msa_ilvr_w((Packet4i)v1, (Packet4i)v0));
}

template<>
EIGEN_STRONG_INLINE Packet2cf
padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
{
	EIGEN_MSA_DEBUG;

	return a + b;
}

template<>
EIGEN_STRONG_INLINE Packet2cf
psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
{
	EIGEN_MSA_DEBUG;

	return a - b;
}

template<>
EIGEN_STRONG_INLINE Packet2cf
pnegate(const Packet2cf& a)
{
	EIGEN_MSA_DEBUG;

	return -a;
}

template<>
EIGEN_STRONG_INLINE Packet2cf
pconj(const Packet2cf& a)
{
	EIGEN_MSA_DEBUG;

	return a.conjugate();
}

template<>
EIGEN_STRONG_INLINE Packet2cf
pmul<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
{
	EIGEN_MSA_DEBUG;

	return a * b;
}

template<>
EIGEN_STRONG_INLINE Packet2cf
pand<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
{
	EIGEN_MSA_DEBUG;

	return Packet2cf(pand(a.v, b.v));
}

template<>
EIGEN_STRONG_INLINE Packet2cf
por<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
{
	EIGEN_MSA_DEBUG;

	return Packet2cf(por(a.v, b.v));
}

template<>
EIGEN_STRONG_INLINE Packet2cf
pxor<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
{
	EIGEN_MSA_DEBUG;

	return Packet2cf(pxor(a.v, b.v));
}

template<>
EIGEN_STRONG_INLINE Packet2cf
pandnot<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
{
	EIGEN_MSA_DEBUG;

	return Packet2cf(pandnot(a.v, b.v));
}

template<>
EIGEN_STRONG_INLINE Packet2cf
pload<Packet2cf>(const std::complex<float>* from)
{
	EIGEN_MSA_DEBUG;

	EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(pload<Packet4f>((const float*)from));
}

template<>
EIGEN_STRONG_INLINE Packet2cf
ploadu<Packet2cf>(const std::complex<float>* from)
{
	EIGEN_MSA_DEBUG;

	EIGEN_DEBUG_UNALIGNED_LOAD return Packet2cf(ploadu<Packet4f>((const float*)from));
}

template<>
EIGEN_STRONG_INLINE Packet2cf
ploaddup<Packet2cf>(const std::complex<float>* from)
{
	EIGEN_MSA_DEBUG;

	return pset1<Packet2cf>(*from);
}

template<>
EIGEN_STRONG_INLINE void
pstore<std::complex<float>>(std::complex<float>* to, const Packet2cf& from)
{
	EIGEN_MSA_DEBUG;

	EIGEN_DEBUG_ALIGNED_STORE pstore<float>((float*)to, from.v);
}

template<>
EIGEN_STRONG_INLINE void
pstoreu<std::complex<float>>(std::complex<float>* to, const Packet2cf& from)
{
	EIGEN_MSA_DEBUG;

	EIGEN_DEBUG_UNALIGNED_STORE pstoreu<float>((float*)to, from.v);
}

template<>
EIGEN_DEVICE_FUNC inline Packet2cf
pgather<std::complex<float>, Packet2cf>(const std::complex<float>* from, Index stride)
{
	EIGEN_MSA_DEBUG;

	return Packet2cf(from[0 * stride], from[1 * stride]);
}

template<>
EIGEN_DEVICE_FUNC inline void
pscatter<std::complex<float>, Packet2cf>(std::complex<float>* to, const Packet2cf& from, Index stride)
{
	EIGEN_MSA_DEBUG;

	*to = std::complex<float>(from.v[0], from.v[1]);
	to += stride;
	*to = std::complex<float>(from.v[2], from.v[3]);
}

template<>
EIGEN_STRONG_INLINE void
prefetch<std::complex<float>>(const std::complex<float>* addr)
{
	EIGEN_MSA_DEBUG;

	prefetch(reinterpret_cast<const float*>(addr));
}

template<>
EIGEN_STRONG_INLINE std::complex<float>
pfirst<Packet2cf>(const Packet2cf& a)
{
	EIGEN_MSA_DEBUG;

	return std::complex<float>(a.v[0], a.v[1]);
}

template<>
EIGEN_STRONG_INLINE Packet2cf
preverse(const Packet2cf& a)
{
	EIGEN_MSA_DEBUG;

	return Packet2cf((Packet4f)__builtin_msa_shf_w((v4i32)a.v, EIGEN_MSA_SHF_I8(2, 3, 0, 1)));
}

template<>
EIGEN_STRONG_INLINE Packet2cf
pcplxflip<Packet2cf>(const Packet2cf& a)
{
	EIGEN_MSA_DEBUG;

	return Packet2cf((Packet4f)__builtin_msa_shf_w((v4i32)a.v, EIGEN_MSA_SHF_I8(1, 0, 3, 2)));
}

template<>
EIGEN_STRONG_INLINE std::complex<float>
predux<Packet2cf>(const Packet2cf& a)
{
	EIGEN_MSA_DEBUG;

	Packet4f value = (Packet4f)preverse((Packet2d)a.v);
	value += a.v;
	return std::complex<float>(value[0], value[1]);
}

template<>
EIGEN_STRONG_INLINE std::complex<float>
predux_mul<Packet2cf>(const Packet2cf& a)
{
	EIGEN_MSA_DEBUG;

	return std::complex<float>((a.v[0] * a.v[2]) - (a.v[1] * a.v[3]), (a.v[0] * a.v[3]) + (a.v[1] * a.v[2]));
}

EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet2cf, Packet4f)

template<>
EIGEN_STRONG_INLINE Packet2cf
pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
{
	EIGEN_MSA_DEBUG;

	return a / b;
}

inline std::ostream&
operator<<(std::ostream& os, const PacketBlock<Packet2cf, 2>& value)
{
	os << "[ " << value.packet[0] << ", " << std::endl << "  " << value.packet[1] << " ]";
	return os;
}

EIGEN_DEVICE_FUNC inline void
ptranspose(PacketBlock<Packet2cf, 2>& kernel)
{
	EIGEN_MSA_DEBUG;

	Packet4f tmp = (Packet4f)__builtin_msa_ilvl_d((v2i64)kernel.packet[1].v, (v2i64)kernel.packet[0].v);
	kernel.packet[0].v = (Packet4f)__builtin_msa_ilvr_d((v2i64)kernel.packet[1].v, (v2i64)kernel.packet[0].v);
	kernel.packet[1].v = tmp;
}

template<>
EIGEN_STRONG_INLINE Packet2cf
pblend(const Selector<2>& ifPacket, const Packet2cf& thenPacket, const Packet2cf& elsePacket)
{
	return (Packet2cf)(Packet4f)pblend<Packet2d>(ifPacket, (Packet2d)thenPacket.v, (Packet2d)elsePacket.v);
}

//---------- double ----------

struct Packet1cd
{
	EIGEN_STRONG_INLINE Packet1cd() {}
	EIGEN_STRONG_INLINE explicit Packet1cd(const std::complex<double>& a)
	{
		v[0] = std::real(a);
		v[1] = std::imag(a);
	}
	EIGEN_STRONG_INLINE explicit Packet1cd(const Packet2d& a)
		: v(a)
	{
	}
	EIGEN_STRONG_INLINE Packet1cd(const Packet1cd& a)
		: v(a.v)
	{
	}
	EIGEN_STRONG_INLINE Packet1cd& operator=(const Packet1cd& b)
	{
		v = b.v;
		return *this;
	}
	EIGEN_STRONG_INLINE Packet1cd conjugate(void) const
	{
		static const v2u64 p2ul_CONJ_XOR = { 0x0, 0x8000000000000000 };
		return (Packet1cd)pxor(v, (Packet2d)p2ul_CONJ_XOR);
	}
	EIGEN_STRONG_INLINE Packet1cd& operator*=(const Packet1cd& b)
	{
		Packet2d v1, v2;

		// Get the real values of a | a1_re | a1_re
		v1 = (Packet2d)__builtin_msa_ilvev_d((v2i64)v, (v2i64)v);
		// Get the imag values of a | a1_im | a1_im
		v2 = (Packet2d)__builtin_msa_ilvod_d((v2i64)v, (v2i64)v);
		// Multiply the real a with b
		v1 = pmul(v1, b.v);
		// Multiply the imag a with b
		v2 = pmul(v2, b.v);
		// Conjugate v2
		v2 = Packet1cd(v2).conjugate().v;
		// Swap real/imag elements in v2.
		v2 = (Packet2d)__builtin_msa_shf_w((v4i32)v2, EIGEN_MSA_SHF_I8(2, 3, 0, 1));
		// Add and return the result
		v = padd(v1, v2);
		return *this;
	}
	EIGEN_STRONG_INLINE Packet1cd operator*(const Packet1cd& b) const { return Packet1cd(*this) *= b; }
	EIGEN_STRONG_INLINE Packet1cd& operator+=(const Packet1cd& b)
	{
		v = padd(v, b.v);
		return *this;
	}
	EIGEN_STRONG_INLINE Packet1cd operator+(const Packet1cd& b) const { return Packet1cd(*this) += b; }
	EIGEN_STRONG_INLINE Packet1cd& operator-=(const Packet1cd& b)
	{
		v = psub(v, b.v);
		return *this;
	}
	EIGEN_STRONG_INLINE Packet1cd operator-(const Packet1cd& b) const { return Packet1cd(*this) -= b; }
	EIGEN_STRONG_INLINE Packet1cd& operator/=(const Packet1cd& b)
	{
		*this *= b.conjugate();
		Packet2d s = pmul<Packet2d>(b.v, b.v);
		s = padd(s, preverse<Packet2d>(s));
		v = pdiv(v, s);
		return *this;
	}
	EIGEN_STRONG_INLINE Packet1cd operator/(const Packet1cd& b) const { return Packet1cd(*this) /= b; }
	EIGEN_STRONG_INLINE Packet1cd operator-(void) const { return Packet1cd(pnegate(v)); }

	Packet2d v;
};

inline std::ostream&
operator<<(std::ostream& os, const Packet1cd& value)
{
	os << "[ (" << value.v[0] << ", " << value.v[1] << "i) ]";
	return os;
}

template<>
struct packet_traits<std::complex<double>> : default_packet_traits
{
	typedef Packet1cd type;
	typedef Packet1cd half;
	enum
	{
		Vectorizable = 1,
		AlignedOnScalar = 0,
		size = 1,
		HasHalfPacket = 0,

		HasAdd = 1,
		HasSub = 1,
		HasMul = 1,
		HasDiv = 1,
		HasNegate = 1,
		HasAbs = 0,
		HasAbs2 = 0,
		HasMin = 0,
		HasMax = 0,
		HasSetLinear = 0
	};
};

template<>
struct unpacket_traits<Packet1cd>
{
	typedef std::complex<double> type;
	enum
	{
		size = 1,
		alignment = Aligned16,
		vectorizable = true,
		masked_load_available = false,
		masked_store_available = false
	};
	typedef Packet1cd half;
};

template<>
EIGEN_STRONG_INLINE Packet1cd
pload<Packet1cd>(const std::complex<double>* from)
{
	EIGEN_MSA_DEBUG;

	EIGEN_DEBUG_ALIGNED_LOAD return Packet1cd(pload<Packet2d>((const double*)from));
}

template<>
EIGEN_STRONG_INLINE Packet1cd
ploadu<Packet1cd>(const std::complex<double>* from)
{
	EIGEN_MSA_DEBUG;

	EIGEN_DEBUG_UNALIGNED_LOAD return Packet1cd(ploadu<Packet2d>((const double*)from));
}

template<>
EIGEN_STRONG_INLINE Packet1cd
pset1<Packet1cd>(const std::complex<double>& from)
{
	EIGEN_MSA_DEBUG;

	return Packet1cd(from);
}

template<>
EIGEN_STRONG_INLINE Packet1cd
padd<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
{
	EIGEN_MSA_DEBUG;

	return a + b;
}

template<>
EIGEN_STRONG_INLINE Packet1cd
psub<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
{
	EIGEN_MSA_DEBUG;

	return a - b;
}

template<>
EIGEN_STRONG_INLINE Packet1cd
pnegate(const Packet1cd& a)
{
	EIGEN_MSA_DEBUG;

	return -a;
}

template<>
EIGEN_STRONG_INLINE Packet1cd
pconj(const Packet1cd& a)
{
	EIGEN_MSA_DEBUG;

	return a.conjugate();
}

template<>
EIGEN_STRONG_INLINE Packet1cd
pmul<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
{
	EIGEN_MSA_DEBUG;

	return a * b;
}

template<>
EIGEN_STRONG_INLINE Packet1cd
pand<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
{
	EIGEN_MSA_DEBUG;

	return Packet1cd(pand(a.v, b.v));
}

template<>
EIGEN_STRONG_INLINE Packet1cd
por<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
{
	EIGEN_MSA_DEBUG;

	return Packet1cd(por(a.v, b.v));
}

template<>
EIGEN_STRONG_INLINE Packet1cd
pxor<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
{
	EIGEN_MSA_DEBUG;

	return Packet1cd(pxor(a.v, b.v));
}

template<>
EIGEN_STRONG_INLINE Packet1cd
pandnot<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
{
	EIGEN_MSA_DEBUG;

	return Packet1cd(pandnot(a.v, b.v));
}

template<>
EIGEN_STRONG_INLINE Packet1cd
ploaddup<Packet1cd>(const std::complex<double>* from)
{
	EIGEN_MSA_DEBUG;

	return pset1<Packet1cd>(*from);
}

template<>
EIGEN_STRONG_INLINE void
pstore<std::complex<double>>(std::complex<double>* to, const Packet1cd& from)
{
	EIGEN_MSA_DEBUG;

	EIGEN_DEBUG_ALIGNED_STORE pstore<double>((double*)to, from.v);
}

template<>
EIGEN_STRONG_INLINE void
pstoreu<std::complex<double>>(std::complex<double>* to, const Packet1cd& from)
{
	EIGEN_MSA_DEBUG;

	EIGEN_DEBUG_UNALIGNED_STORE pstoreu<double>((double*)to, from.v);
}

template<>
EIGEN_STRONG_INLINE void
prefetch<std::complex<double>>(const std::complex<double>* addr)
{
	EIGEN_MSA_DEBUG;

	prefetch(reinterpret_cast<const double*>(addr));
}

template<>
EIGEN_DEVICE_FUNC inline Packet1cd
pgather<std::complex<double>, Packet1cd>(const std::complex<double>* from, Index stride __attribute__((unused)))
{
	EIGEN_MSA_DEBUG;

	Packet1cd res;
	res.v[0] = std::real(from[0]);
	res.v[1] = std::imag(from[0]);
	return res;
}

template<>
EIGEN_DEVICE_FUNC inline void
pscatter<std::complex<double>, Packet1cd>(std::complex<double>* to,
										  const Packet1cd& from,
										  Index stride __attribute__((unused)))
{
	EIGEN_MSA_DEBUG;

	pstore(to, from);
}

template<>
EIGEN_STRONG_INLINE std::complex<double>
pfirst<Packet1cd>(const Packet1cd& a)
{
	EIGEN_MSA_DEBUG;

	return std::complex<double>(a.v[0], a.v[1]);
}

template<>
EIGEN_STRONG_INLINE Packet1cd
preverse(const Packet1cd& a)
{
	EIGEN_MSA_DEBUG;

	return a;
}

template<>
EIGEN_STRONG_INLINE std::complex<double>
predux<Packet1cd>(const Packet1cd& a)
{
	EIGEN_MSA_DEBUG;

	return pfirst(a);
}

template<>
EIGEN_STRONG_INLINE std::complex<double>
predux_mul<Packet1cd>(const Packet1cd& a)
{
	EIGEN_MSA_DEBUG;

	return pfirst(a);
}

EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet1cd, Packet2d)

template<>
EIGEN_STRONG_INLINE Packet1cd
pdiv<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
{
	EIGEN_MSA_DEBUG;

	return a / b;
}

EIGEN_STRONG_INLINE Packet1cd pcplxflip /*<Packet1cd>*/ (const Packet1cd& x)
{
	EIGEN_MSA_DEBUG;

	return Packet1cd(preverse(Packet2d(x.v)));
}

inline std::ostream&
operator<<(std::ostream& os, const PacketBlock<Packet1cd, 2>& value)
{
	os << "[ " << value.packet[0] << ", " << std::endl << "  " << value.packet[1] << " ]";
	return os;
}

EIGEN_STRONG_INLINE void
ptranspose(PacketBlock<Packet1cd, 2>& kernel)
{
	EIGEN_MSA_DEBUG;

	Packet2d v1, v2;

	v1 = (Packet2d)__builtin_msa_ilvev_d((v2i64)kernel.packet[0].v, (v2i64)kernel.packet[1].v);
	// Get the imag values of a
	v2 = (Packet2d)__builtin_msa_ilvod_d((v2i64)kernel.packet[0].v, (v2i64)kernel.packet[1].v);

	kernel.packet[0].v = v1;
	kernel.packet[1].v = v2;
}

} // end namespace internal

} // end namespace Eigen

#endif // EIGEN_COMPLEX_MSA_H
